3x^2+4x=480

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Solution for 3x^2+4x=480 equation:


Simplifying
3x2 + 4x = 480

Reorder the terms:
4x + 3x2 = 480

Solving
4x + 3x2 = 480

Solving for variable 'x'.

Reorder the terms:
-480 + 4x + 3x2 = 480 + -480

Combine like terms: 480 + -480 = 0
-480 + 4x + 3x2 = 0

Factor a trinomial.
(-40 + -3x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-40 + -3x)' equal to zero and attempt to solve: Simplifying -40 + -3x = 0 Solving -40 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -3x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -3x = 0 + 40 -3x = 0 + 40 Combine like terms: 0 + 40 = 40 -3x = 40 Divide each side by '-3'. x = -13.33333333 Simplifying x = -13.33333333

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-13.33333333, 12}

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